If $A : B = 1 : 2, B : C = 3 : 4, C : D = 6 : 9$ and $D : E = 12 : 16,$ then $A : B : C : D : E$ equal to

1 : 3 : 6 : 12 : 16

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2 : 4 : 6 : 9 : 16

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3 : 4 : 8 : 12 : 16

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3 : 6 : 8 : 12 : 16

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Solution

The correct option is D $3 : 6 : 8 : 12 : 16$
Given,
$A : B = 1 : 2, B : C = 3 : 4, C : D = 6 : 9$ and $D : E = 12 : 16$
$A : B = 1 : 2 = 1 \times 3 : 2 \times 3 = 3 : 6$
$B : C = 3 : 4 = 3 \times 2 : 4 \times 2 = 6 : 8$
$C : D = 6 : 9 = 2 : 3 = 2 \times 4 : 3 \times 4 = 8 : 12$
$D : E = 12 : 16$
Thus,
$A : B : C : D : E = 3 : 6 : 8 : 12 : 16$

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If A:B=1:2,B:C=3:4,C:D=6:9 and D:E=12:16, then A:B:C:D:E equal to

The correct option is D 3:6:8:12:16Given,A:B=1:2,B:C=3:4,C:D=6:9 and D:E=12:16A:B=1:2=1×3:2×3=3:6B:C=3:4=3×2:4×2=6:8C:D=6:9=2:3=2×4:3×4=8:12D:E=12:16Thus,A:B:C:D:E=3:6:8:12:16

If $A : B = 1 : 2, B : C = 3 : 4, C : D = 6 : 9$ and $D : E = 12 : 16,$ then $A : B : C : D : E$ equal to